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Math Help - Chain rule problem

  1. #1
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    Chain rule problem

    I'm trying to solve the following question, how would I go about solving this?

    Let f (x, y) = e^(x+x^2 y ), x(t) = t cos(t), y(t) = sin(t).

    Define the
    composite function w(t) := f (x(t), y(t)). Find dw/dt(pi/2) using the chain rule.
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  2. #2
    MHF Contributor Calculus26's Avatar
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    See attachment
    Attached Thumbnails Attached Thumbnails Chain rule problem-chrule.jpg  
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  3. #3
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    Hi, Thanks. I got as far as writing out the dw/dt (in your case df/dt), but I wasn't sure how to solve for pi/2. Could you please explain how you did that part? Thanks.
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  4. #4
    MHF Contributor Calculus26's Avatar
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    x= tcos(t) y= sin(t)

    so when t= pi/2 x= 0 y = 1
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